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Recent questions in Engineering Mathematics
9
votes
1
answer
8501
TIFR CSE 2010 | Part A | Question: 11
The length of a vector $X = (x_{1},\ldots,x_{n})$ is defined as $\left \| X\right \| = \sqrt{\sum \limits^{n}_{i=1}x^{2}_{i}}$ Given two vectors $X=(x_{1},\ldots, x_{n})$ and $Y=(y_{1},\ldots, y_{n})$, which of the following measures of ... $\left \| \frac{X}{\left \| X \right \|}-\frac{Y}{\left \| Y \right \|} \right \|$ None of the above
makhdoom ghaya
asked
in
Linear Algebra
Oct 3, 2015
by
makhdoom ghaya
1.3k
views
tifr2010
linear-algebra
vector-space
7
votes
2
answers
8502
TIFR CSE 2010 | Part A | Question: 10
A drawer contains $2$ Blue, $4$ Red and $2$ Yellow balls. No two balls have the same radius. If two balls are randomly selected from the drawer, what is the probability that they will be of the same colour? $\left(\dfrac{2}{7}\right)$ $\left(\dfrac{2}{5}\right)$ $\left(\dfrac{3}{7}\right)$ $\left(\dfrac{1}{2}\right)$ $\left(\dfrac{3}{5}\right)$
Arjun
asked
in
Probability
Oct 3, 2015
by
Arjun
2.0k
views
tifr2010
probability
conditional-probability
1
vote
1
answer
8503
Combination of 4 Letter in MATHEMATICS?
The given word is MATHEMATICS which can be arranged in different ways by taking some or all the letters used in the word. the number of words that can be formed by taking 4 letters at a time out of the letters of the given word.
Umang Raman
asked
in
Combinatory
Oct 3, 2015
by
Umang Raman
2.5k
views
combinatory
1
vote
4
answers
8504
functions -which of following is false
Let A={x|x∈R and x!=2} and B={x|x∈R and x!=1} define f:A->B and g:B->A by f(x)=x/(x-2) and g(x)=2x/(x-1) then which of following is false? 1)f∘g=g∘f 2)f∘g=Ib Ib is identity function on set B 3)f=g-1 4) f∘g is bijection
Pooja Palod
asked
in
Set Theory & Algebra
Oct 3, 2015
by
Pooja Palod
1.6k
views
2
votes
1
answer
8505
functions
IF function f(x)=1+kx is its own inverse then find value of k
Pooja Palod
asked
in
Set Theory & Algebra
Oct 3, 2015
by
Pooja Palod
751
views
1
vote
2
answers
8506
Sets
IF A B C are three sets which of following statement is not true? 1)(A-B)-C=A-(C-B) 2)A-(B∪C)=(A-B)∩(A-C) 3)A-(B-C)=(A-B)-(A-C) 4)A∆(B∪C)=(A∆B)∪(A∆C)
Pooja Palod
asked
in
Set Theory & Algebra
Oct 3, 2015
by
Pooja Palod
613
views
3
votes
3
answers
8507
symmetric difference
If A and B are subsets of set X={1,2,3........100} and A∆B denotes set of all elements of X which belong to exactly one of A or B.Then total no of subsets of X such that A∆B ={2,4,6.....100}is a)2^50 2)2^51 3)2^100 4)2^25
Pooja Palod
asked
in
Set Theory & Algebra
Oct 3, 2015
by
Pooja Palod
900
views
25
votes
4
answers
8508
TIFR CSE 2010 | Part A | Question: 8
Which of the following is NOT necessarily true? { Notation: The symbol ''$\neg$''notes negation; $P (x, y)$ means that for given $x$ and $y$, the property $P(x, y)$ is true }. $(∀x∀y P(x, y)) \Rightarrow (∀y∀x P(x, y))$ ... $(∃x∀y P(x, y)) \Rightarrow (∀y∃x P(x, y))$ $(∀x∃y P(x, y)) \Rightarrow (∃y∀x P(x, y))$
makhdoom ghaya
asked
in
Mathematical Logic
Oct 2, 2015
by
makhdoom ghaya
3.3k
views
tifr2010
mathematical-logic
first-order-logic
15
votes
6
answers
8509
TIFR CSE 2010 | Part A | Question: 7
The limit of $\dfrac{10^{n}}{n!}$ as $n \to \infty$ is. $0$ $1$ $e$ $10$ $\infty$
makhdoom ghaya
asked
in
Calculus
Oct 2, 2015
by
makhdoom ghaya
3.4k
views
tifr2010
calculus
limits
14
votes
2
answers
8510
TIFR CSE 2010 | Part A | Question: 6
Given 10 tosses of a coin with probability of head = .$4$ = ($1$ - the probability of tail), the probability of at least one head is? $(.4)^{10}$ $1 - (.4)^{10}$ $1 - (.6)^{10}$ $(.6)^{10}$ $10(.4) (.6)^{9}$
makhdoom ghaya
asked
in
Probability
Oct 2, 2015
by
makhdoom ghaya
2.0k
views
tifr2010
probability
binomial-distribution
9
votes
2
answers
8511
TIFR CSE 2010 | Part A | Question: 5
$A$ is symmetric positive definite matrix ( i.e., $x^{T} Ax > 0$ for all non zero $x$). Which of the following statements is false? At least one element is positive. All eigen values are positive real. Sum of the diagonal elements is positive. det (A) is positive. None of the above.
makhdoom ghaya
asked
in
Linear Algebra
Oct 2, 2015
by
makhdoom ghaya
1.9k
views
tifr2010
linear-algebra
matrix
18
votes
4
answers
8512
TIFR CSE 2010 | Part A | Question: 4
If the bank receipt is forged, then Mr. M is liable. If Mr. M is liable, he will go bankrupt. If the bank will loan him money, he will not go bankrupt. The bank will loan him money. Which of the following can be concluded from the above statements? Mr. M is liable The receipt is not forged Mr. M will go bankrupt The bank will go bankrupt None of the above
makhdoom ghaya
asked
in
Mathematical Logic
Oct 2, 2015
by
makhdoom ghaya
2.0k
views
tifr2010
mathematical-logic
propositional-logic
7
votes
3
answers
8513
TIFR CSE 2010 | Part A | Question: 3
The function $f (x) = 2.5 \log_e \left( 2 + \exp \left( x^2 - 4x + 5 \right)\right)$ attains a minimum at $x = $? $0$ $1$ $2$ $3$ $4$
makhdoom ghaya
asked
in
Calculus
Oct 2, 2015
by
makhdoom ghaya
1.9k
views
tifr2010
calculus
maxima-minima
2
votes
1
answer
8514
If f:X→Y and a, b⊆X, then
If $f:X→Y$ and $a, b \subseteq X$, then $f(a \cap b)$ is equal to $f(a) –f(b)$ $f(a) \cap f(b)$ a proper subset of $f(a)\cap f(b)$ $f(b)–f(a)$
Tendua
asked
in
Set Theory & Algebra
Sep 29, 2015
by
Tendua
6.7k
views
set-theory&algebra
functions
0
votes
2
answers
8515
math
A sequence of independent trails consisting consists flipping of a coin having probability p of coming up of heads is continually performed until either a head occurs or a tital of n flips is made. Let X denote the no of time the coin is flipped.then P(X=n) is A)(1-p)^n B)p(1-p)^(n-1) C)(1-p)^(n-1) D)np(1-p)^(n-1)
srestha
asked
in
Probability
Sep 28, 2015
by
srestha
1.2k
views
0
votes
1
answer
8516
math
A computer net network consists of 6 computers.Each computer is directly connected to 0 or more computers.Based on pegion hole principle which one of the following is true? 1) There is atleast 5 computer in the network that is directly connected to same no of ... same no of other computers 4) There is atleast 2 computer in the network that is directly connected to same no of other computers
srestha
asked
in
Combinatory
Sep 27, 2015
by
srestha
1.1k
views
0
votes
1
answer
8517
Probability
A pair of dice is rolled again and again till a total of 5 or 7 is obtained. The chance that a total of 5 comes before a total of 7 is
Umang Raman
asked
in
Probability
Sep 26, 2015
by
Umang Raman
446
views
probability
2
votes
1
answer
8518
How to prove Rank(AB) <= min(Rank(A),Rank(B)) ?
Given A and B are matrices such that they can be multiplied. How to prove Rank(AB) ≤ min(Rank(A),Rank(B)) ?
amarVashishth
asked
in
Linear Algebra
Sep 26, 2015
by
amarVashishth
7.4k
views
matrix
linear-algebra
0
votes
1
answer
8519
If R = ((1, 1), (3, 1), (2, 3), (4, 2)), then which of the following represents R2, where R2 is R composite R?
Tendua
asked
in
Set Theory & Algebra
Sep 24, 2015
by
Tendua
10.3k
views
set-theory&algebra
10
votes
5
answers
8520
ISRO2011-35
How many edges are there in a forest with $v$ vertices and $k$ components? $(v+1) - k$ $(v+1)/2 - k$ $v - k$ $v + k$
ajit
asked
in
Graph Theory
Sep 24, 2015
by
ajit
4.2k
views
isro2011
graph-theory
graph-connectivity
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